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A Second-Order Dual Mode Repetitive Control for Magnetically Suspended Rotor

机译：磁悬浮转子的二阶双模重复控制

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摘要

In magnetically suspended rotor (MSR) systems, harmonic current mainly originates from rotor mass imbalance and sensor runout, which can generate multifrequency vibration. Repetitive control (RC) is an effective method to eliminate periodic disturbance from a control system. Conventional RC (CRC) method requires the exact knowledge of the period of the periodic signal. However, in some applications, the period may fluctuate or may not be available with sufficient accuracy, in which case the performance of the CRC severely decays. Besides, the transient response of the CRC is relatively slow. In response to these issues, a second-order RC that incorporates dual mode structure scheme is presented in this paper. By introducing Lagrange-interpolation-based fractional delay filters, the current suppression accuracy gets enhanced in fractional cases. The stability criterion with rigorous proof for the proposed scheme is addressed. The sensitivity to period-time of the proposed scheme is analyzed as well, from the aspect of sensitivity transfer function. Simulation and experimental validations are performed on an MSR to show the effectiveness of the proposed approach.
机译：在磁悬浮转子（MSR）系统中，谐波电流主要来自转子质量不平衡和传感器跳动，这可以产生多频振动。重复控制（RC）是消除控制系统的周期性干扰的有效方法。传统的RC（CRC）方法需要定期信号时段的确切知识。然而，在某些应用中，期间可能波动或者可能无法获得足够的精度，在这种情况下，CRC的性能严重衰减。此外，CRC的瞬态响应相对较慢。响应于这些问题，本文提出了一种包含双模结构方案的二阶RC。通过引入基于Lagrange插值的分数延迟滤波器，在分数案例中，电流抑制精度得到增强。解决了拟议计划的严格证据的稳定性标准。从敏感性转移函数的方面，也分析了所提出的方案的周期时间的敏感性。模拟和实验验证在MSR上执行以显示所提出的方法的有效性。

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